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EunoR

Answered question

2021-10-08

Derivatives Find and simplify the derivative of the following functions

h (r) = \frac{2 - r - \sqrt{r}}{r + 1}

Answer & Explanation

firmablogF

Skilled2021-10-09Added 92 answers

Step 1
Given function is:

h (r) = \frac{2 - r - \sqrt{r}}{r + 1}

Step 2
Differentiating h(r) with respect to r we get,

h^{'} (r) = \frac{(- 1 - \frac{1}{2 r^{\frac{1}{2}}}) (r + 1) - [2 - r - r^{\frac{1}{2}}] (1)}{{(r + 1)}^{2}}

h^{'} (r) = [r - 6 \sqrt{r}) - 1 \frac{]}{2 \cdot \sqrt{r} \cdot {(r + 1)}^{2}}

Hence the result.

Jeffrey Jordon

Expert2022-08-15Added 2605 answers

Answer is given below (on video)

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